Question

The density of a material in $CGS$ system of units is $4\,g\,cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$. the value of density of material will be

• A. $0.04$
• B. $0.4$
• C. $40$
• D. $400$

Answer 1

Answer: (C)

$40$

Answer 2

$M = d \cdot V$
$\Rightarrow d =\frac{ M }{ L ^{3}}$
$\Rightarrow d =\frac{4 \,gm }{ cm ^{3}}=\frac{4(1 / 100)}{10^{-3}}$
$=40 \frac{ gm }{ cm ^{3}}$